6831379800 has 288 divisors, whose sum is σ = 26298554880. Its totient is φ = 1556755200.

The previous prime is 6831379777. The next prime is 6831379801. The reversal of 6831379800 is 89731386.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6831379801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5833215 + ... + 5834385.

Almost surely, 2^6831379800 is an apocalyptic number.

6831379800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6831379800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149277440).

6831379800 is an abundant number, since it is smaller than the sum of its proper divisors (19467175080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6831379800 is a wasteful number, since it uses less digits than its factorization.

6831379800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6831379800 is about 82652.1614962367. The cubic root of 6831379800 is about 1897.4462273919.

The spelling of 6831379800 in words is "six billion, eight hundred thirty-one million, three hundred seventy-nine thousand, eight hundred".